CN112464493B - Improved Model, Regional Runoff and Flood Risk Design Method Based on TOPMODEL Model - Google Patents

Improved Model, Regional Runoff and Flood Risk Design Method Based on TOPMODEL Model Download PDF

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CN112464493B
CN112464493B CN202011461625.XA CN202011461625A CN112464493B CN 112464493 B CN112464493 B CN 112464493B CN 202011461625 A CN202011461625 A CN 202011461625A CN 112464493 B CN112464493 B CN 112464493B
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杨开斌
夏建荣
刘阳容
卢鹏
韩兵
周鹏程
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PowerChina Kunming Engineering Corp Ltd
China Renewable Energy Engineering Institute
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Abstract

一种基于TOPMODEL模型的改进方法,涉及水循环模拟及水文设计领域,其在目前TOPMODEL模型的基础上通过构建加入集成不同资料需求的潜在蒸散发计算、单位线地表汇流等机制,弥补了目前TOPMODEL模型严重依赖蒸发皿观测数据、汇流计算难以反映河网调蓄作用等问题,改进后的模型较目前的TOPMODEL模型,提高了缺资料地区流量资料反演的适用性及反演精度。一种区域径流和洪水风险设计的方法,其采用上述改进方法计算。可为缺资料地区设计断面径流、洪水设计及分析决策提供有力的理论与技术支撑。

Figure 202011461625

An improved method based on the TOPMODEL model, which involves the fields of water cycle simulation and hydrological design. Based on the current TOPMODEL model, it makes up for the current TOPMODEL model by constructing potential evapotranspiration calculations that integrate different data requirements, unit line surface confluence and other mechanisms. It relies heavily on pan observation data, and the confluence calculation is difficult to reflect the role of river network regulation and storage. Compared with the current TOPMODEL model, the improved model improves the applicability and accuracy of flow data inversion in data-deficient areas. A method for regional runoff and flood risk design, which is calculated using the above improved method. It can provide strong theoretical and technical support for design section runoff, flood design and analysis decision-making in data-deficient areas.

Figure 202011461625

Description

基于TOPMODEL模型的改进模型、区域径流和洪水风险设计的 方法Improved model based on TOPMODEL model, design of regional runoff and flood risk method

技术领域technical field

本发明涉及水循环模拟及水文设计领域,具体而言,涉及基于TOPMODEL模型的改进模型以及区域径流和洪水风险设计的方法。The invention relates to the fields of water cycle simulation and hydrological design, in particular to an improved model based on the TOPMODEL model and a method for regional runoff and flood risk design.

背景技术Background technique

TOPMODEL模型由于结合了概念性水文模型及分布式水文模型的特点,相比其他流域水文模型具有显著的特征:①基于一定物理机制,但结构上较为精炼不过于复杂;②对数据种类要求较少,输入数据较容易准备;③模型参数不多,参数优选方便;④应用十分广泛,效果普遍检验较好。因为有上述特征,TOPMODEL模型被广泛应用于流域水文循环模拟等相关研究及业务中。Compared with other watershed hydrological models, the TOPMODEL model has remarkable features because it combines the characteristics of conceptual hydrological models and distributed hydrological models: ① It is based on a certain physical mechanism, but its structure is relatively refined and not too complicated; ② It requires less data types , the input data is easier to prepare; ③ there are not many model parameters, and the parameter selection is convenient; ④ the application is very wide, and the effect is generally tested well. Because of the above characteristics, the TOPMODEL model is widely used in related research and business such as watershed hydrological cycle simulation.

缺资料地区流量资料反演虽属流域水文循环模拟研究的范畴,但根据模型理论及结构分析,目前TOPMODEL模型应用于缺资料地区流量资料反演存在以下三方面的缺陷:①在缺资料地区往往缺少或甚至无蒸发皿观测资料,而目前模型由于缺少潜在蒸散发计算机制,严重依赖蒸发皿观测资料,导致模型难以应用。②缺少融雪径流计算机制,反演高寒高海拔流域的流量时精度不高。③目前模型汇流算法采用的是等流时线法,无法充分反映流域的调蓄作用,无法分地表、地下水两种水源分别进行汇流计算,汇流计算精度不高。以上缺陷,导致TOPMODEL模型应用于缺资料地区流量资料反演研究的应用效果不佳、甚至难以应用。Although the inversion of flow data in data-deficient areas belongs to the category of watershed hydrological cycle simulation research, according to the model theory and structural analysis, the current TOPMODEL model applied to flow data inversion in data-deficient areas has the following three defects: ①In data-deficient areas, often There is a lack of or even no pan observation data, and the current model relies heavily on pan observation data due to the lack of potential evapotranspiration calculation mechanism, which makes the model difficult to apply. ② There is a lack of calculation mechanism for snowmelt runoff, and the accuracy of inversion of flow in alpine and high-altitude watersheds is not high. ③The current confluence algorithm of the model uses the isocurrent timeline method, which cannot fully reflect the regulation and storage function of the watershed, and cannot perform confluence calculations separately for surface and groundwater sources, and the confluence calculation accuracy is not high. The above deficiencies lead to poor or even difficult application of the TOPMODEL model in flow data inversion research in data-deficient areas.

纵向应用外延来看,缺资料地区流量资料反演的最直接应用是进行设计断面径流、洪水设计。随着计算机、遥感、水文等专业技术发展,目前流域水文模型在此方面应用越来越多,但相关应用均依据确定性设计的思路,得到的是确定性的径流、洪水设计成果,无法充分评估成果由于资料、模型、参数等因素存在不确定性所带来的风险,给工程设计带来决策上的困难。From the perspective of vertical application extension, the most direct application of flow data inversion in data-deficient areas is to design cross-section runoff and flood design. With the development of professional technologies such as computer, remote sensing, and hydrology, more and more watershed hydrological models are used in this area, but the relevant applications are based on the idea of deterministic design, and the deterministic design results of runoff and flood are obtained, which cannot be fully realized. Due to the risk of uncertainty in data, models, parameters and other factors in the evaluation results, it brings difficulties in decision-making for engineering design.

发明内容Contents of the invention

本发明的目的在于提供一种基于TOPMODEL模型的改进模型,其设计科学合理,对传统的TOPMODEL模型进行了优化,提高了缺资料地区流量资料反演的适用性及反演精度。The purpose of the present invention is to provide an improved model based on the TOPMODEL model, which has a scientific and reasonable design, optimizes the traditional TOPMODEL model, and improves the applicability and accuracy of flow data inversion in data-deficient areas.

本发明的另一目的在于提供一种区域径流和洪水风险设计的方法,其基于上述改进模型,可为缺资料地区设计断面径流、洪水设计及分析决策提供有力的理论与技术支撑。Another object of the present invention is to provide a method for regional runoff and flood risk design, which, based on the above-mentioned improved model, can provide strong theoretical and technical support for cross-sectional runoff design, flood design and analysis decision-making in areas lacking data.

本发明的实施例是这样实现的:Embodiments of the present invention are achieved like this:

一种基于TOPMODEL模型的改进模型,其包括:A kind of improved model based on TOPMODEL model, it comprises:

根据采集到的环境参数,匹配对应的潜在蒸散发量计算公式,计算潜在蒸散发量,并应用到TOPMODEL模型中。According to the collected environmental parameters, match the corresponding potential evapotranspiration calculation formula, calculate the potential evapotranspiration, and apply it to the TOPMODEL model.

一种区域径流和洪水风险设计的方法,其采用上述改进模型计算。A method for regional runoff and flood risk design, which is calculated using the above-mentioned improved model.

本发明实施例的有益效果是:The beneficial effects of the embodiments of the present invention are:

本发明实施例提供了一种基于TOPMODEL模型的改进模型,其在目前TOPMODEL模型的基础上通过构建加入集成不同资料需求的潜在蒸散发计算机制,弥补了目前TOPMODEL模型严重依赖蒸发皿观测数据的问题,改进后的模型较目前的TOPMODEL模型,提高了缺资料地区流量资料反演的适用性及反演精度。The embodiment of the present invention provides an improved model based on the TOPMODEL model. On the basis of the current TOPMODEL model, it makes up for the problem that the current TOPMODEL model relies heavily on evaporating pan observation data by constructing a potential evapotranspiration calculation mechanism that integrates different data requirements. , compared with the current TOPMODEL model, the improved model improves the applicability and accuracy of flow data inversion in data-deficient areas.

本发明实施例还提供了一种区域径流和洪水风险设计的方法,其采用上述改进模型计算。可为缺资料地区设计断面径流、洪水设计及分析决策提供有力的理论与技术支撑。An embodiment of the present invention also provides a method for regional runoff and flood risk design, which uses the above-mentioned improved model for calculation. It can provide strong theoretical and technical support for design section runoff, flood design and analysis decision-making in data-deficient areas.

附图说明Description of drawings

为了更清楚地说明本发明实施例的技术方案,下面将对实施例中所需要使用的附图作简单地介绍,应当理解,以下附图仅示出了本发明的某些实施例,因此不应被看作是对范围的限定,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他相关的附图。In order to illustrate the technical solutions of the embodiments of the present invention more clearly, the accompanying drawings used in the embodiments will be briefly introduced below. It should be understood that the following drawings only show some embodiments of the present invention, and thus It should be regarded as a limitation on the scope, and those skilled in the art can also obtain other related drawings based on these drawings without creative work.

图1为本发明实施例所提供的基于TOPMODEL模型的改进模型以及区域径流和洪水风险设计的方法的示意图;Fig. 1 is the schematic diagram of the improved model based on TOPMODEL model provided by the embodiment of the present invention and the method for regional runoff and flood risk design;

图2为本发明实施例所提供的孟威水文站年径流频率分析(评审审定);Fig. 2 is the annual runoff frequency analysis (assessment and approval) of Mengwei Hydrological Station provided by the embodiment of the present invention;

图3为本发明实施例所提供的孟威水文站年径流频率分析(最优参数计算流量);Fig. 3 is the annual runoff frequency analysis of the Mengwei Hydrological Station provided by the embodiment of the present invention (optimum parameter calculation flow);

图4为本发明实施例所提供的孟威水文站年径流频率分析(33.3%下边界流量);Fig. 4 is the annual runoff frequency analysis (33.3% lower boundary flow) of Mengwei Hydrological Station provided by the embodiment of the present invention;

图5为本发明实施例所提供的孟威水文站年径流频率分析(加权流量);Fig. 5 is the annual runoff frequency analysis (weighted flow) of Mengwei Hydrological Station provided by the embodiment of the present invention;

图6为本发明实施例所提供的孟威水文站年洪峰频率分析(评审审定);Fig. 6 is the annual flood peak frequency analysis (assessment and approval) of Mengwei Hydrological Station provided by the embodiment of the present invention;

图7为本发明实施例所提供的孟威水文站年洪峰频率分析(最优参数计算流量);Fig. 7 is the annual flood peak frequency analysis (optimum parameter calculation flow) of Mengwei hydrological station provided by the embodiment of the present invention;

图8为本发明实施例所提供的孟威水文站年洪峰频率分析(上边界流量);Fig. 8 is the annual flood peak frequency analysis (upper boundary discharge) of Mengwei hydrological station provided by the embodiment of the present invention;

图9为本发明实施例所提供的孟威水文站年洪峰频率分析(加权流量)。Fig. 9 is the annual flood peak frequency analysis (weighted flow) of the Mengwei hydrological station provided by the embodiment of the present invention.

具体实施方式Detailed ways

下面对本发明实施例的一种基于TOPMODEL模型的改进模型以及区域径流和洪水风险设计的方法进行具体说明。An improved model based on the TOPMODEL model and a method for regional runoff and flood risk design in an embodiment of the present invention will be described in detail below.

一种基于TOPMODEL模型的改进模型,其包括:A kind of improved model based on TOPMODEL model, it comprises:

根据采集到的环境参数,匹配对应的潜在蒸散发量计算公式,计算潜在蒸散发量,并应用到TOPMODEL模型中。According to the collected environmental parameters, match the corresponding potential evapotranspiration calculation formula, calculate the potential evapotranspiration, and apply it to the TOPMODEL model.

现有技术中,在缺资料地区往往缺少或甚至无蒸发皿观测资料,而现有的TOPMODEL模型由于缺少潜在蒸散发计算机制,严重依赖蒸发皿观测资料,导致模型难以应用。本发明实施例针对上述问题,挑选了现有的用于计算蒸散发量的公式,汇集成库。再根据能够获取的环境参数,匹配合适的计算公式,解决了TOPMODEL模型在缺资料地区的应用问题。In the existing technology, pan observation data are often lacking or even non-existent in data-deficient areas, and the existing TOPMODEL model relies heavily on pan observation data due to the lack of potential evapotranspiration calculation mechanism, which makes the model difficult to apply. In order to solve the above problems, the embodiment of the present invention selects existing formulas for calculating evapotranspiration and compiles them into a library. Then, according to the available environmental parameters, match the appropriate calculation formula, and solve the application problem of the TOPMODEL model in the data-deficient areas.

进一步地,在能够获取到的环境参数包括日均气温、日最高气温和日最低气温时,采用Hargreaves(1985)公式计算潜在蒸散发量。Further, when the available environmental parameters include daily average temperature, daily maximum temperature and daily minimum temperature, the potential evapotranspiration is calculated using Hargreaves (1985) formula.

若A<0.75,潜在蒸散发量计算公式为If A<0.75, the formula for calculating potential evapotranspiration is

Figure BDA0002828546170000041
Figure BDA0002828546170000041

若A≥0.75,则潜在蒸散发量计算公式为If A≥0.75, the formula for calculating potential evapotranspiration is

Figure BDA0002828546170000051
Figure BDA0002828546170000051

式中,ET为潜在蒸散发量,A=Krs*0.0135*(Tmax-Tmin)0.5,Krs为0.16~0.19,当测定地区位于内陆时,Krs可取值为0.16,位于滨海时,可取值为0.19。Tmax为日最高气温,Tmin为日最低气温,Ta为日均气温。In the formula, ET is the potential evapotranspiration, A=Krs*0.0135*(T max -T min ) 0.5 , Krs is 0.16-0.19, when the measurement area is located inland, Krs can take a value of 0.16, and when it is located in the coastal area, The possible value is 0.19. T max is the daily maximum temperature, T min is the daily minimum temperature, and T a is the daily average temperature.

进一步地,在能够获取到的环境参数除了日均气温外,还增加了日均日照时数的时候,潜在蒸散发量计算公式替换为Hargreaves(1975)公式,Furthermore, when the available environmental parameters include the daily average sunshine hours in addition to the daily average temperature, the formula for calculating potential evapotranspiration is replaced by the Hargreaves (1975) formula,

Figure BDA0002828546170000052
Figure BDA0002828546170000052

式中,λ为蒸发潜热量,可根据日均气温计算得到;Rs为短波辐射量,可根据日均日照时数、点位置高程及纬度计算得到;其它参数同Hargreaves(1985)公式。In the formula, λ is the latent heat of evaporation, which can be calculated according to the daily average temperature; R s is the short-wave radiation, which can be calculated according to the daily average sunshine hours, point location elevation and latitude; other parameters are the same as Hargreaves (1985) formula.

进一步地,在能获取到的环境参数除了日均气温日均日照时数外,还增加了日均相对湿度的时候,潜在蒸散发量计算公式替换为Turc公式。Further, when the available environmental parameters include daily average relative humidity in addition to daily average temperature and daily sunshine hours, the formula for calculating potential evapotranspiration is replaced by the Turc formula.

若RH≥50,则潜在蒸散发量计算公式为If RH≥50, the formula for calculating potential evapotranspiration is

Figure BDA0002828546170000053
Figure BDA0002828546170000053

若RH<50,则潜在蒸散发量计算公式为If RH<50, the formula for calculating potential evapotranspiration is

Figure BDA0002828546170000054
Figure BDA0002828546170000054

式中,RH为日均相对湿度,其它参数同Hargreaves(1975)公式。In the formula, RH is the daily average relative humidity, and other parameters are the same as Hargreaves (1975) formula.

进一步地,在能够获取到的环境参数除了日均气温、日均相对湿度和日均日照时数(或日均入地短波辐射量)外,还增加了日均风速的时候,潜在蒸散发量计算公式替换为Penman-Monteith公式,Furthermore, in addition to the daily average temperature, daily average relative humidity, and daily average sunshine hours (or daily average daily short-wave radiation into the ground), the available environmental parameters also increase the daily average wind speed, and the potential evapotranspiration The calculation formula is replaced by the Penman-Monteith formula,

Figure BDA0002828546170000061
Figure BDA0002828546170000061

式中,Δ为饱和水气压~温度曲线相应的斜率,可根据日均气温计算得到;G为土壤热通量密度,一般可取值为0;γ为湿度计常数,可根据点位置高程计算得到;U2为2m高处风速,可根据点位置高程及日均风速计算得到;es为饱和水汽压,可间接根据日均气温计算得到;ea为实际水汽压,可间接根据日均气温、日均相对湿度计算得到;Rn为净辐射量,可根据日均日照时数(或日均入地短波辐射量)、点位置高程及纬度、日均气温计算得到。In the formula, Δ is the corresponding slope of the saturated water pressure-temperature curve, which can be calculated according to the daily average temperature; G is the soil heat flux density, which generally can be taken as 0; γ is the hygrometer constant, which can be calculated according to the elevation of the point position U 2 is the wind speed at a height of 2m, which can be calculated according to the point elevation and the daily average wind speed; es is the saturated water vapor pressure, which can be calculated indirectly according to the daily average temperature; e a is the actual water vapor pressure, which can be indirectly calculated according to The temperature and daily average relative humidity are calculated; R n is the net radiation, which can be calculated according to the daily average sunshine hours (or the daily average daily short-wave radiation into the ground), the elevation and latitude of the point location, and the daily average temperature.

上述公式的选择采用递进的形式,每增加部分环境参数,均会自动匹配到更加适合,且计算精度更好的公式,从而提高结果的准确性。The selection of the above formulas adopts a progressive form, and each time some environmental parameters are added, a more suitable formula with better calculation accuracy will be automatically matched, thereby improving the accuracy of the results.

除此之外,本发明实施例所提供的一种基于TOPMODEL模型的改进模型,还包括:In addition, a kind of improved model based on TOPMODEL model provided by the embodiment of the present invention also includes:

引入融雪径流计算公式来模拟积雪、融雪过程,对原始降雨输入进行处理,得到净雨过程;将计算结果引入到到TOPMODEL模型中;其中,融雪径流计算公式为,The snowmelt runoff calculation formula is introduced to simulate the snow accumulation and snowmelt process, and the original rainfall input is processed to obtain the net rain process; the calculation results are introduced into the TOPMODEL model; among them, the snowmelt runoff calculation formula is,

Ms=CS(Ta-Tt), (7)M s =C s (T a -T t ), (7)

式中,Ms为正值时表示融雪量,为负值时表示积雪量,Cs为度日因子,Tt为临界气温,Ta为日均气温。In the formula, M s represents the amount of snowmelt when it is positive, and snow accumulation when it is negative, C s is the degree-day factor, T t is the critical temperature, and T a is the daily average temperature.

若时段降雨为P,前期积雪深为S,则计算时段末积雪深为S-Ms(不低于0),时段净雨为P+Ms(Ms<S)或P+S(Ms≥S)。If the period rainfall is P and the previous snow depth is S, then the snow depth at the end of the calculation period is SM s (not lower than 0), and the period net rain is P+M s (M s <S) or P+S (M s ≥ S).

现有的TOPMODEL模型缺少融雪径流计算机制,反演高寒高海拔流域的流量时精度不高。而本发明实施例在仅增加了一个度日因子参数的情况下,更加适合高寒高海拔、缺资料地区的融雪径流计算,进一步提高计算的精度。The existing TOPMODEL model lacks a snowmelt runoff calculation mechanism, and the accuracy of inversion of the flow in alpine and high-altitude watersheds is not high. However, the embodiment of the present invention is more suitable for the calculation of snowmelt runoff in areas with high coldness and high altitude and lack of data, and further improves the calculation accuracy under the condition that only one degree-day factor parameter is added.

进一步地,本发明实施例所提供的一种基于TOPMODEL模型的改进模型,还包括:Further, a kind of improved model based on TOPMODEL model provided by the embodiment of the present invention also includes:

采用Nash地貌单位线的地表汇流算法、线性水库地下汇流算法,替换TOPMODEL模型的等流时线汇流算法。The surface confluence algorithm of the Nash landform unit line and the linear reservoir underground confluence algorithm are used to replace the isocurrent timeline confluence algorithm of the TOPMODEL model.

①地表汇流部分,采用Nash地貌单位线的地表汇流算法,Nash地貌单位线基本形式如下:① For the surface confluence part, the surface confluence algorithm of the Nash geomorphic unit line is adopted. The basic form of the Nash geomorphic unit line is as follows:

Figure BDA0002828546170000071
Figure BDA0002828546170000071

式中:n为反映流域调蓄能力的参数,相当于线性水库的个数或水库的调节次数,K为线性水库的蓄泄系数,具有时间因次;Γ(n)为Γ函数,即

Figure BDA0002828546170000072
In the formula: n is a parameter reflecting the regulation and storage capacity of the watershed, which is equivalent to the number of linear reservoirs or the number of reservoir adjustments, K is the storage and discharge coefficient of a linear reservoir, which has a time dimension; Γ(n) is a Γ function, namely
Figure BDA0002828546170000072

各计算时段根据地表产流量,通过上述卷积方程可计算出未来一定时段内的地表径流,各时段地表径流过程叠加可得到最终的流域出口地表径流过程。According to the surface yield in each calculation period, the surface runoff in a certain period of time in the future can be calculated through the above convolution equation, and the final surface runoff process at the outlet of the watershed can be obtained by superimposing the surface runoff processes in each period.

在参数n及参数K推求上,可根据霍顿地貌几何率(面积比、河长比、分叉比)推求:In derivation of parameter n and parameter K, it can be deduced according to Horton landform geometric ratio (area ratio, river length ratio, bifurcation ratio):

Figure BDA0002828546170000073
Figure BDA0002828546170000073

式中:RB,RL,RA—流域水系的分叉比、河长比和面积比,可基于斯特拉勒级别通过DEM资料求得。In the formula: R B , RL , RA — the bifurcation ratio, river length ratio and area ratio of the watershed system, which can be obtained from DEM data based on the Straller level.

推求K参数的问题实质是如何根据地形资料确定流域平均汇流时间。根据不同级别河流的流速主要依赖于其地形坡度的事实,有如下关系式:The essence of deriving the K parameter is how to determine the average confluence time of the watershed based on topographic data. According to the fact that the flow velocity of rivers of different grades mainly depends on the slope of their topography, the following relationship is expressed:

τ=1-(1-λ)(1-ρ) (10)τ=1-(1-λ)(1-ρ) (10)

其中:in:

Figure BDA0002828546170000081
Figure BDA0002828546170000081

进一步分析还可得到如下关系式:Further analysis can also get the following relationship:

τ=λ1-mλ (12)τ=λ 1-mλ (12)

由式(10)和式(11)还可推导出:It can also be deduced from formula (10) and formula (11):

Figure BDA0002828546170000082
Figure BDA0002828546170000082

用霍顿河长定律,可推导出:Using Horton's law, it can be deduced that:

Figure BDA0002828546170000083
Figure BDA0002828546170000083

以上式中:τ为净雨质点自河源至下游某一断面的平均汇流时间与河源至流域出口断面的平均汇流时间的比值;ρ为与河流长度及河底比降有关的参数;n为自河源至下游某断面的子河段数;N为自河源至流域出口断面的子河段数;Δlj为自河源开始划分的第j子河段长;pj为第j子河段的平均坡度;m为反映河道纵剖面特性的综合参数;Ω为河系最高级别河流的级数;VΩ为流域出口断面的流速,一般由出口断面洪水过程线的涨洪段的平均流速给定;α为流域形心至流域出口断面的距离与流域长度的比值。In the above formula: τ is the ratio of the average confluence time of the net rain particles from the river source to a section downstream to the average confluence time of the river source to the outlet section of the basin; ρ is a parameter related to the length of the river and the gradient of the river bottom; The number of sub-river sections from the river source to a certain section downstream; N is the number of sub-river sections from the river source to the outlet section of the basin; Δl j is the length of the jth sub-river section divided from the river source; p j is the average slope of the j-th sub-river section; m is a comprehensive parameter reflecting the characteristics of the longitudinal section of the river channel; Ω is the series of the highest level river in the river system; V Ω is the flow velocity of the outlet section of the watershed, which is generally given by the average flow velocity of the flood section of the flood hydrograph of the outlet section; α is The ratio of the distance from the centroid of the watershed to the outlet section of the watershed to the length of the watershed.

本发明在m参数推求上有所创新,m参数可认为是反映河道纵剖面特性的综合参数,目前需结合干支流的实际资料,先计算τ和λ,并点绘τ~λ图进行分析得到,较为繁琐。The present invention has some innovations in deriving the m parameter. The m parameter can be considered as a comprehensive parameter reflecting the characteristics of the longitudinal section of the channel. At present, it is necessary to combine the actual data of the main and tributary streams, first calculate τ and λ, and draw the τ~λ diagram for analysis. , is more complicated.

本发明根据霍顿河长定律及比降定律,针对ρ参数计算,提出河长比降比RLS这一概念,其为各级河流lp-0.5值的平均比值,则有:According to Horton's river length law and slope law, the present invention proposes the concept of river length slope ratio R LS for calculating the ρ parameter, which is the average ratio of the lp -0.5 values of rivers at all levels, then:

Figure BDA0002828546170000091
Figure BDA0002828546170000091

在此基础上,可联立式(10)及式(12),通过迭代求解,较方便的计算参数m。On this basis, formula (10) and formula (12) can be combined, and the parameter m can be calculated more conveniently through iterative solution.

②地下汇流部分,采用线性水库算法,线性水库基本形式如下:② The underground confluence part adopts the linear reservoir algorithm, and the basic form of the linear reservoir is as follows:

由于地下水的水面比降较为平缓,可认为其涨落水蓄泄关系相同,则线性水库计算公式为:Since the water surface gradient of groundwater is relatively gentle, it can be considered that the relationship between its fluctuation and storage and discharge is the same, and the linear reservoir calculation formula is:

Qg2=Rg(1-CG)U+Qg1CG (16)Q g2 =R g (1-CG)U+Q g1 CG (16)

式中:Rg为基流深;CG为地下水消退系数;Qg1、Qg2分别为前时段和本时段基流量;U为单位转换系数。In the formula: R g is the base flow depth; CG is the groundwater receding coefficient; Q g1 and Q g2 are the base flow in the previous period and the current period respectively; U is the unit conversion coefficient.

各计算时段根据地表产流量根据地下产流量采用式(16)迭代计算出地下径流量。In each calculation period, the underground runoff is iteratively calculated according to the surface runoff and the underground runoff using formula (16).

通过综合Nash地貌单位线地表汇流算法、线性水库地下汇流算法替换了在理论、结构上有缺陷的等流时线算法。By combining the surface confluence algorithm of Nash landform unit line and the linear reservoir underground confluence algorithm, the isocurrent timeline algorithm with defects in theory and structure is replaced.

一种区域径流和洪水风险设计的方法,其采用上述改进模型计算。A method for regional runoff and flood risk design, which is calculated using the above-mentioned improved model.

优选地,该方法采用GLUE算法与改进模型进行耦合计算。Preferably, the method uses the GLUE algorithm and the improved model for coupled calculation.

进一步地,其包括:Further, it includes:

采用蒙特卡洛算法随机生成多个参数组,分别代入改进模型,计算出模拟流量过程,结合实际流量过程计算得到相应的似然函数值,进而计算各个参数组的权重,结合设置的置信度指标,根据权重累加及流量排序,计算得到相应置信度的不确定性上边界流量过程、下边界流量过程、加权流量过程、最优参数流量过程;The Monte Carlo algorithm is used to randomly generate multiple parameter groups, which are respectively substituted into the improved model to calculate the simulated flow process, and the corresponding likelihood function values are calculated in combination with the actual flow process, and then the weights of each parameter group are calculated, combined with the set confidence index , according to the weight accumulation and flow sorting, the uncertainty upper boundary flow process, lower boundary flow process, weighted flow process, and optimal parameter flow process of the corresponding confidence degree are calculated;

基于下边界流量过程、加权流量过程、理论最优流量过程,计算得到不同流量过程相应的长系列年、月径流;基于上边界流量过程、加权流量过程、最优参数流量过程,计算得到不同流量过程相应的长系列年、月洪峰;将各长系列年、月径流及长系列年、月洪峰成果代入频率计算方法,得到不同系列相应的径流、洪水计算成果。Based on the lower boundary flow process, weighted flow process, and theoretical optimal flow process, the long series of annual and monthly runoffs corresponding to different flow processes are calculated; based on the upper boundary flow process, weighted flow process, and optimal parameter flow process, different flow rates are calculated. The long-series annual and monthly flood peaks corresponding to the process; the long-series annual and monthly runoff and the long-series annual and monthly flood peak results are substituted into the frequency calculation method to obtain the corresponding runoff and flood calculation results of different series.

进一步地,耦合GLUE普适似然不确定性分析算法,具体算法相关文献已有说明,本说明书不予赘述。本发明在GLUE算法基本原理基础上,为加快计算效率,有一定特性化设置,介绍如下:Furthermore, the coupling GLUE universal likelihood uncertainty analysis algorithm, the specific algorithm has been described in relevant literature, and this description will not go into details. Based on the basic principles of the GLUE algorithm, the present invention has certain characteristic settings in order to speed up the calculation efficiency, which are introduced as follows:

采用蒙特卡洛随机采样方式随机生成成千上万组参数组,对改进模型进行参数评价,在一定似然函数阈值设置基础上,筛选得到多个有效参数组。各有效参数组的权重为:The Monte Carlo random sampling method is used to randomly generate tens of thousands of parameter groups, and the parameters of the improved model are evaluated. On the basis of a certain likelihood function threshold setting, multiple effective parameter groups are screened. The weights of each effective parameter group are:

Figure BDA0002828546170000101
Figure BDA0002828546170000101

式中:Weighti为第i组有效参数组的权重;Li为第i组有效参数组的似然值;n为有效参数组总组数。In the formula: Weight i is the weight of the i-th effective parameter group; L i is the likelihood value of the i-th effective parameter group; n is the total number of effective parameter groups.

在此基础上,对各计算时段,采用冒泡算法对流量值进行排序,根据一定置信度Z,依据权重值累加计算,以挑选流量上边界为例:On this basis, for each calculation period, use the bubble algorithm to sort the flow values, according to a certain degree of confidence Z, based on the cumulative calculation of the weight value, take the selection of the upper boundary of the flow as an example:

若已累加得到:If accumulated:

Figure BDA0002828546170000111
Figure BDA0002828546170000111

式中:a为按一定顺序的累加序号。In the formula: a is the cumulative serial number in a certain order.

则Qa即为相应计算时段的上边界流量。Then Q a is the upper boundary flow of the corresponding calculation period.

同样的,进行流量下边界挑选,依据原理与挑选流量上边界类似,仅在权重值累加方向上正好相反。Similarly, the selection of the flow lower boundary is based on a principle similar to that of selecting the flow upper boundary, except that it is just opposite in the direction of weight value accumulation.

本发明提出的耦合GLUE普适似然不确定性分析算法,较目前采用的确定性方法,可获得一定置信度下流量过程的不确定性上下边界,结合频率分析,可得到径流、洪水相应置信度下偏激进或偏保守的设计成果,可为缺资料地区设计断面径流、洪水设计及分析决策提供有力的理论与技术支撑。The coupling GLUE universal likelihood uncertainty analysis algorithm proposed by the present invention, compared with the deterministic method currently used, can obtain the upper and lower uncertain bounds of the flow process under a certain degree of confidence, combined with frequency analysis, can obtain the corresponding confidence of runoff and flood Radical or conservative design results under different degrees can provide strong theoretical and technical support for cross-sectional runoff design and flood design and analysis decisions in data-deficient areas.

以下结合实施例对本发明的特征和性能作进一步的详细描述。The characteristics and performance of the present invention will be described in further detail below in conjunction with the examples.

实施例Example

步骤一:研究选取气候模式反演的孟威站控制流域1994年~2002年逐日日均气温、日均实际水汽压、日均风速及日均入地短波辐射量,代入集成不同资料需求的潜在蒸散发计算机制,计算流域潜在蒸散发量,作为缺资料地区的蒸发量输入。Step 1: Study and select the daily average temperature, daily average actual water vapor pressure, daily average wind speed and daily average daily short-wave radiation in the control basin of Mengwei Station from 1994 to 2002 retrieved by the climate model, and substitute it into the potential of integrating different data requirements. The evapotranspiration calculation mechanism calculates the potential evapotranspiration of the watershed, which is used as the input of evapotranspiration in data-deficient areas.

步骤二:基于目前(未改进的)TOPMODEL模型,产流计算机制保持不变,将原有等流时线机制,替换为采用Nash地貌单位线地表汇流算法计算地表径流量、采用线性水库地下汇流算法计算地下径流量的改进机制,加入基于度日因子的融雪径流计算机制,待模型运行后逐时段计算融雪产流量,并对降水输入进行修正。通过以上改进,得到改进模型。Step 2: Based on the current (unimproved) TOPMODEL model, the runoff calculation mechanism remains unchanged, and the original isocurrent timeline mechanism is replaced by the calculation of surface runoff using the Nash landform unit line surface flow algorithm, and the use of linear reservoir underground flow The improved mechanism of algorithm calculation of subsurface runoff is added with the calculation mechanism of snowmelt runoff based on degree-day factor. After the model is running, the snowmelt yield is calculated time by time, and the precipitation input is corrected. Through the above improvements, an improved model is obtained.

步骤三:进行参数范围设置。与目前TOPMODEL模型参数范围经验性设置不同,改进模型的参数范围设置也更有科学合理性:参数n基于斯特拉勒级别采用DEM资料根据式(2)求得;参数K由于与出口断面涨洪段平均流速有关,依据断面巡测资料明确的流速范围,可进而确定参数K的取值范围;线性水库参数可通过无降水的退水段实测流量数据直接分析得到;度日因子参数可通过所在气候区类型经验性拟定范围;其他参数范围确定方法与目前TOPMODEL模型一致。Step 3: Set the parameter range. Different from the empirical setting of the parameter range of the current TOPMODEL model, the setting of the parameter range of the improved model is also more scientific and reasonable: the parameter n is obtained based on the Straler level and the DEM data according to formula (2); The value range of the parameter K can be further determined according to the flow velocity range specified by the cross-section survey data; the linear reservoir parameters can be obtained by directly analyzing the measured flow data of the receding section without precipitation; the degree-day factor parameter can be obtained by The range is empirically drawn up for the type of climatic region; the method for determining the range of other parameters is consistent with the current TOPMODEL model.

步骤四:耦合GLUE算法与改进模型。基于步骤三的参数范围成果,采用蒙特卡洛算法随机生成多个(一般5000次以上)参数组,分别代入改进模型,计算出模拟流量过程,结合实际流量过程计算得到相应似然函数值(似然函数可选,可默认为Nash效率系数),进而计算各个参数组的权重,结合人为设置的置信度指标,根据权重累加及流量排序,计算得到相应置信度的不确定性上边界流量过程、下边界流量过程、加权流量过程(根据参数组权重加权得到)、最优参数流量过程(相应于似然函数值最大的参数组计算成果)。本步骤实施过程中,GLUE算法反复调用了改进模型。Step 4: Coupling the GLUE algorithm with the improved model. Based on the result of the parameter range in Step 3, multiple (generally more than 5,000 times) parameter groups are randomly generated using the Monte Carlo algorithm, respectively substituted into the improved model, and the simulated flow process is calculated. Combined with the actual flow process, the corresponding likelihood function value (similar to However, the function is optional, and the default is the Nash efficiency coefficient), and then calculate the weight of each parameter group, combined with the artificially set confidence index, according to the weight accumulation and flow sorting, calculate the uncertainty upper boundary flow process of the corresponding confidence degree, The lower boundary flow process, the weighted flow process (obtained by weighting according to the weight of the parameter group), and the optimal parameter flow process (corresponding to the calculation result of the parameter group with the largest likelihood function value). During the implementation of this step, the GLUE algorithm repeatedly calls the improved model.

步骤五:基于步骤四得到的下边界流量过程(置信度一般可取33.3%)、加权流量过程、理论最优流量过程,计算得到不同流量过程相应的长系列年、月径流;基于步骤四得到的上边界流量过程(置信度一般可取90%)、加权流量过程、最优参数流量过程,计算得到不同流量过程相应的长系列年、月洪峰。将各长系列年、月径流及长系列年、月洪峰成果代入频率计算方法,得到不同系列相应的径流、洪水计算成果。Step 5: Based on the lower boundary flow process obtained in step 4 (the confidence level is generally 33.3%), the weighted flow process, and the theoretical optimal flow process, calculate the long series of annual and monthly runoff corresponding to different flow processes; The upper boundary flow process (the confidence level is generally 90%), the weighted flow process, and the optimal parameter flow process are calculated to obtain the long series of annual and monthly flood peaks corresponding to different flow processes. The annual and monthly runoff of each long series and the annual and monthly flood peak results of the long series are substituted into the frequency calculation method to obtain the corresponding runoff and flood calculation results of different series.

技术方案实施后的结果见图2~图9和表1~表2。从中可以看出:See Figures 2 to 9 and Tables 1 to 2 for the results after the implementation of the technical solution. From which it can be seen that:

①径流设计上,最优参数流量过程、加权流量过程得到的年径流频率计算成果与评审审定成果总体上较为接近,而33.3%置信度下边界流量成果得到的年径流频率计算成果相比评审审定成果除枯期略偏大外总体偏小,可见33.3%置信度下边界流量成果得到的年径流频率计算成果可以作为径流偏小的控制成果。综合分析表明,本发明方法可以得到径流偏均化及偏保守的风险设计成果,相比确定性的径流设计成果,能更好为决策者服务。① In terms of runoff design, the calculation results of annual runoff frequency obtained from the optimal parameter flow process and weighted flow process are generally close to the results of the review and verification, while the calculation results of annual runoff frequency obtained from the boundary flow results under the 33.3% confidence level are compared with the results of the review and verification The results are generally small except that the dry season is slightly larger. It can be seen that the annual runoff frequency calculation results obtained from the boundary flow results under the 33.3% confidence level can be used as the control results for the small runoff. The comprehensive analysis shows that the method of the invention can obtain runoff average and conservative risk design results, and can better serve decision makers compared with deterministic runoff design results.

②洪水设计上,最优参数流量过程得到的年洪峰频率计算成果与评审审定成果总体上较为接近,而90%置信度上边界流量得到的年洪峰频率计算成果相比评审审定成果总体偏大,而加权流量得到的年洪峰频率计算成果相比评审审定成果总体偏小。综合分析表明,通过本发明可得到的洪水偏保守及偏均化(激进)的风险设计成果,结合最优参数计算流量得到的频率计算成果,提供了多种选择,相比确定性的洪水设计成果,决策者可根据具体考量进行风险决策。②In terms of flood design, the calculation results of the annual flood peak frequency obtained by the optimal parameter flow process are generally close to the review and verification results, while the calculation results of the annual flood peak frequency obtained by the boundary flow at the 90% confidence level are generally larger than the review and verification results. However, the calculation results of the annual flood peak frequency obtained by weighted flow are generally smaller than the results of the review and approval. Comprehensive analysis shows that the risk design results of the conservative and partial (radical) floods that can be obtained through the present invention, combined with the frequency calculation results obtained by calculating the flow of optimal parameters, provide a variety of options, compared with deterministic flood design As a result, decision makers can make risk decisions based on specific considerations.

表1本发明计算得到的孟威站年径流频率计算成果表Table 1 The annual runoff frequency calculation result table of Mengwei Station calculated by the present invention

方法method 均值average CvCv Cs/CvCs/Cv P=10%P = 10% P=50%P=50% P=90%P=90% 评审审定Review and approval 436436 0.260.26 22 586586 426426 299299 最优参数计算流量Optimal parameter calculation flow 458458 0.200.20 22 579579 452452 345345 加权流量weighted flow 485485 0.190.19 22 606606 479479 371371 33%置信度下边界33% confidence lower bound 414414 0.210.21 22 529529 408408 307307

表2本发明计算得到的孟威站年洪峰频率计算成果表Table 2 The annual flood peak frequency calculation result table of Mengwei Station calculated by the present invention

方法method 均值average CvCv Cs/CvCs/Cv P=0.01%P=0.01% P=0.02%P=0.02% P=0.05%P=0.05% P=0.1%P=0.1% P=1%P=1% P=5%P=5% 评审审定(基准)Review and approval (benchmark) 36903690 0.560.56 3.53.5 2050020500 1910019100 1720017200 1580015800 1100011000 78107810 最优参数计算流量Optimal parameter calculation flow 35503550 0.590.59 3.53.5 2110021100 1960019600 1760017600 1610016100 1120011200 77507750 上边界流量upper boundary flow 65006500 0.360.36 55 2470024700 2320023200 2120021200 1970019700 1470014700 1110011100 加权流量weighted flow 38103810 0.50.5 33 1730017300 1630016300 1490014900 1380013800 1020010200 75307530

综上所述,本发明实施例提供了一种基于TOPMODEL模型的改进模型,其在目前TOPMODEL模型的基础上通过构建加入集成不同资料需求的潜在蒸散发计算机制,弥补了目前TOPMODEL模型严重依赖蒸发皿观测数据的问题,改进后的模型较目前的TOPMODEL模型,提高了缺资料地区流量资料反演的适用性及反演精度。To sum up, the embodiment of the present invention provides an improved model based on the TOPMODEL model. On the basis of the current TOPMODEL model, it makes up for the current TOPMODEL model that relies heavily on evaporation by constructing a potential evapotranspiration calculation mechanism that integrates different data requirements. Compared with the current TOPMODEL model, the improved model improves the applicability and accuracy of flow data inversion in data-deficient areas.

本发明实施例还提供了一种区域径流和洪水风险设计的方法,其采用上述改进模型计算。可为缺资料地区设计断面径流、洪水设计及分析决策提供有力的理论与技术支撑。An embodiment of the present invention also provides a method for regional runoff and flood risk design, which uses the above-mentioned improved model for calculation. It can provide strong theoretical and technical support for design section runoff, flood design and analysis decision-making in data-deficient areas.

以上所述仅为本发明的优选实施例而已,并不用于限制本发明,对于本领域的技术人员来说,本发明可以有各种更改和变化。凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention. For those skilled in the art, the present invention may have various modifications and changes. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included in the protection scope of the present invention.

Claims (3)

1.一种基于TOPMODEL模型的改进方法,其特征在于,包括:1. a kind of improved method based on TOPMODEL model, it is characterized in that, comprising: 根据采集到的环境参数,匹配对应的潜在蒸散发量计算公式,计算潜在蒸散发量,并应用到所述TOPMODEL模型中;According to the collected environmental parameters, match the corresponding potential evapotranspiration calculation formula, calculate the potential evapotranspiration, and apply it to the TOPMODEL model; 所述环境参数包括日均气温、日最高气温和日最低气温,所述潜在蒸散发量计算公式为,The environmental parameters include daily average temperature, daily maximum temperature and daily minimum temperature, and the formula for calculating potential evapotranspiration is:
Figure 218218DEST_PATH_IMAGE001
A<0.75),
Figure 218218DEST_PATH_IMAGE001
( A <0.75),
Figure 18071DEST_PATH_IMAGE002
A≥0.75);
or
Figure 18071DEST_PATH_IMAGE002
( A≥0.75 );
式中,ET为潜在蒸散发量,
Figure 109524DEST_PATH_IMAGE003
Krs为0.16~0.19,T max 为日最高气温,T min 为日最低气温,T a 为日均气温,
Figure 84433DEST_PATH_IMAGE004
为蒸发潜热量;
In the formula, ET is the potential evapotranspiration,
Figure 109524DEST_PATH_IMAGE003
, Krs is 0.16~0.19, T max is the daily maximum temperature, T min is the daily minimum temperature, T a is the daily average temperature,
Figure 84433DEST_PATH_IMAGE004
is the latent heat of evaporation;
若所述环境参数包括日均气温和日均日照时数,所述潜在蒸散发量计算公式替换为,If the environmental parameters include daily average temperature and daily average sunshine hours, the formula for calculating potential evapotranspiration is replaced by,
Figure 487602DEST_PATH_IMAGE005
Figure 487602DEST_PATH_IMAGE005
;
式中,
Figure 963583DEST_PATH_IMAGE004
为蒸发潜热量;R s 为短波辐射量;
In the formula,
Figure 963583DEST_PATH_IMAGE004
is the latent heat of evaporation; R s is the amount of short-wave radiation;
若所述环境参数包括日均气温、日均相对湿度和日均日照时数,所述潜在蒸散发量计算公式替换为,If the environmental parameters include daily average temperature, daily average relative humidity and daily average sunshine hours, the formula for calculating potential evapotranspiration is replaced by,
Figure 519329DEST_PATH_IMAGE006
RH≥50),
Figure 519329DEST_PATH_IMAGE006
( RH ≥ 50),
Figure 386178DEST_PATH_IMAGE007
RH<50);
or
Figure 386178DEST_PATH_IMAGE007
( RH <50);
式中,RH为日均相对湿度;In the formula, RH is the daily average relative humidity; 若所述环境参数包括日均气温、日均相对湿度、日均风速和日均日照时数,所述潜在蒸散发量计算公式替换为,If the environmental parameters include daily average temperature, daily average relative humidity, daily average wind speed and daily average sunshine hours, the formula for calculating potential evapotranspiration is replaced by,
Figure 620850DEST_PATH_IMAGE008
Figure 620850DEST_PATH_IMAGE008
;
式中,
Figure 713571DEST_PATH_IMAGE009
为饱和水气压~温度曲线相应的斜率;G为土壤热通量密度;
Figure 841933DEST_PATH_IMAGE010
为湿度计常数;U 2 为2m高处风速;e s 为饱和水汽压;e a 为实际水汽压;R n 为净辐射量;
In the formula,
Figure 713571DEST_PATH_IMAGE009
is the corresponding slope of the saturated water pressure-temperature curve; G is the soil heat flux density;
Figure 841933DEST_PATH_IMAGE010
is the hygrometer constant; U 2 is the wind speed at a height of 2m; es is the saturated water vapor pressure; e a is the actual water vapor pressure; R n is the net radiation;
所述改进方法还包括:The improved method also includes: 引入融雪径流计算公式来模拟积雪、融雪过程,对原始降雨输入进行处理,得到净雨过程;将计算结果引入到所述TOPMODEL模型中;其中,所述融雪径流计算公式为,Introduce the calculation formula of snowmelt runoff to simulate snow accumulation and snowmelt process, process the original rainfall input, and obtain the net rain process; introduce the calculation result into the TOPMODEL model; wherein, the calculation formula of snowmelt runoff is,
Figure 752120DEST_PATH_IMAGE011
Figure 752120DEST_PATH_IMAGE011
,
式中,M s 为融雪量或积雪量,C s 为度日因子,T t 为临界气温,T a 为日均气温;In the formula, M s is the amount of snowmelt or snow accumulation, C s is the degree-day factor, T t is the critical temperature, T a is the daily average temperature; 所述改进方法还包括:The improved method also includes: 采用Nash地貌单位线的地表汇流算法、线性水库地下汇流算法,替换所述TOPMODEL模型的等流时线汇流算法。The surface confluence algorithm of the Nash geomorphic unit line and the linear reservoir underground confluence algorithm are used to replace the isocurrent timeline confluence algorithm of the TOPMODEL model.
2.一种区域径流和洪水风险设计的方法,其特征在于,采用权利要求1所述的改进方法与GLUE算法进行耦合计算。2. A method for regional runoff and flood risk design, characterized in that, adopt the improved method as claimed in claim 1 to carry out coupled calculation with GLUE algorithm. 3.根据权利要求2所述的区域径流和洪水风险设计的方法,其特征在于,包括:3. The method for regional runoff and flood risk design according to claim 2, characterized in that, comprising: 采用蒙特卡洛算法随机生成多个参数组,分别代入所述改进方法,计算出模拟流量过程,结合实际流量过程计算得到相应的似然函数值,进而计算各个所述参数组的权重,结合设置的置信度指标,根据权重累加及流量排序,计算得到相应置信度的不确定性上边界流量过程、下边界流量过程、加权流量过程、最优参数流量过程;The Monte Carlo algorithm is used to randomly generate multiple parameter groups, which are respectively substituted into the improved method to calculate the simulated flow process, and the corresponding likelihood function values are obtained by combining the calculation of the actual flow process, and then calculate the weight of each parameter group, combined with the settings The confidence index of , according to the weight accumulation and flow sorting, calculate the uncertainty upper boundary flow process, lower boundary flow process, weighted flow process, and optimal parameter flow process of the corresponding confidence degree; 基于所述下边界流量过程、所述加权流量过程、所述最优参数流量过程,计算得到不同流量过程相应的长系列年、月径流;基于所述上边界流量过程、所述加权流量过程、所述最优参数流量过程,计算得到不同流量过程相应的长系列年、月洪峰;将各长系列年、月径流及长系列年、月洪峰成果代入频率计算方法,得到不同系列相应的径流、洪水计算成果。Based on the lower boundary flow process, the weighted flow process, and the optimal parameter flow process, the long series of annual and monthly runoffs corresponding to different flow processes are calculated; based on the upper boundary flow process, the weighted flow process, The optimal parameter flow process is calculated to obtain the corresponding long-series annual and monthly flood peaks of different flow processes; the long-series annual and monthly runoff and the long-series annual and monthly flood peak results are substituted into the frequency calculation method to obtain the corresponding runoff and monthly flood peaks of different series. Flood calculation results.
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